A new theoretical basis of higher-derivative optical differentiators

Ngo, Nam Quoc; Yu, Siu Fung; Tjin, Swee Chuan; Kam, C. H.

doi:10.1016/j.optcom.2003.11.048

Cited by 116 publications

(50 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For evaluation of the error between the ideal and the measured waveform we used square quadratic deviation formula [26]. For forward direction the error was 2.4% ( Fig.…”

Section: All Optical Differentiationmentioning

confidence: 99%

Long-Period Fiber Gratings in Active Fibers

Krcmarik¹,

Kulishov²,

Slavı́k³

2013

Current Trends in Short- And Long-Period Fiber Gratings

View full text Add to dashboard Cite

“…For evaluation of the error between the ideal and the measured waveform we used square quadratic deviation formula [26]. For forward direction the error was 2.4% ( Fig.…”

Section: All Optical Differentiationmentioning

confidence: 99%

Long-Period Fiber Gratings in Active Fibers

Krcmarik¹,

Kulishov²,

Slavı́k³

2013

Current Trends in Short- And Long-Period Fiber Gratings

View full text Add to dashboard Cite

“…[1][2][3][4][5][6] As one of the basic building blocks in optical signal processing and computing systems, 7 differentiators are a key requirement in analyzing high-speed signals as well as in waveform shaping, pulse generation, and systems control. [8][9][10] To implement photonic differentiators, a number of schemes have been proposed, which can be classified into two categories, namely, field differentiators and intensity differentiators.…”

Section: Introductionmentioning

confidence: 99%

Reconfigurable broadband microwave photonic intensity differentiator based on an integrated optical frequency comb source

et al. 2017

View full text Add to dashboard Cite

We propose and experimentally demonstrate a microwave photonic intensity differentiator based on a Kerr optical comb generated by a compact integrated micro-ring resonator (MRR). The on-chip Kerr optical comb, containing a large number of comb lines, serves as a high-performance multi-wavelength source for implementing a transversal filter, which will greatly reduce the cost, size, and complexity of the system. Moreover, owing to the compactness of the integrated MRR, frequency spacings of up to 200-GHz can be achieved, enabling a potential operation bandwidth of over 100 GHz. By programming and shaping individual comb lines according to calculated tap weights, a reconfigurable intensity differentiator with variable differentiation orders can be realized. The operation principle is theoretically analyzed, and experimental demonstrations of the first-, second-, and third-order differentiation functions based on this principle are presented. The radio frequency amplitude and phase responses of multi-order intensity differentiations are characterized, and system demonstrations of real-time differentiations for a Gaussian input signal are also performed. The experimental results show good agreement with theory, confirming the effectiveness of our approach.

show abstract

“…The temporal photonic differentiator is a basic element which can implement the time derivative of the complex envelope of the input optical pulse. It can be used in a wide range of applications, such as ultrafast all-optical computing [1], pulse shaping and coding [2][3][4], dark-soliton detection [5], and Hermite-Gaussian waveforms generation [6]. Different schemes have been proposed to realize the temporal differentiation based on the interferometers, fiber gratings, programmable pulse shapers, photonic crystal nanocavities, and microring resonators [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Tunable fractional-order photonic differentiator based on the inverse Raman scattering in a silicon microring resonator

Jin¹,

Yuan²,

Yu³

et al. 2015

Opt. Express

View full text Add to dashboard Cite

Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) Abstract: A novel photonic fractional-order temporal differentiator is proposed based on the inverse Raman scattering (IRS) in the side-coupled silicon microring resonator. By controlling the power of the pump lightwave, the intracavity loss is adjusted and the coupling state of the microring resonator can be changed, so the continuously tunable differentiation order is achieved. The influences of input pulse width on the differentiation order and the output deviation are discussed. Due to the narrow bandwidth of IRS in silicon, the intracavity loss can be adjusted on a specific resonance while keeping the adjacent resonances undisturbed. It can be expected that the proposed scheme has the potential to realize different differentiation orders simultaneously at different resonant wavelengths. Yang, and X. Zhang, "Arbitrary-order bandwidth-tunable temporal differentiator using a programmable optical pulse shaper," IEEE Photon.

show abstract

A new theoretical basis of higher-derivative optical differentiators

Cited by 116 publications

References 20 publications

Long-Period Fiber Gratings in Active Fibers

Long-Period Fiber Gratings in Active Fibers

Reconfigurable broadband microwave photonic intensity differentiator based on an integrated optical frequency comb source

Tunable fractional-order photonic differentiator based on the inverse Raman scattering in a silicon microring resonator

Contact Info

Product

Resources

About